1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvasek [131]
2 years ago
10

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?
Mathematics
1 answer:
Pie2 years ago
8 0

Answer:

9.3 hours

Step-by-step explanation:

Given

y = 2.89\sin(0.0145x-1.40) + 10.99.

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

days = 52

So:

x = 52

So, we have:

y = 2.89\sin(0.0145x-1.40) + 10.99.

y = 2.89\sin(0.0145*52-1.40) + 10.99.

y = 2.89\sin(0.754-1.40) + 10.99.

y = 2.89\sin(-0.646) + 10.99.

y = 2.89*-0.6020 + 10.99.

y = -1.740 + 10.99.

y = 9.25

<em></em>y = 9.3<em> --- approximated</em>

You might be interested in
Oak grove and salem are 87 mi from each other. How far apart would the cities be on a map that has a scale of 5in: 29mi
Maslowich
Ratio and prooprtion


scale:actualdistance=5in:29mi
so
5:29=?:87
5/29=?/87
times both sides by 87
435/29=?
15=?

they would be 15in apart
7 0
3 years ago
In the diagram above, Z1 = 40°.<br> Find the measure of Z2.<br> Z2 = [?]°
harkovskaia [24]

Answer:

40 = <2

Step-by-step explanation:

<1 and  <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<1 = <2

40 = <2

6 0
2 years ago
Read 2 more answers
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.6 hours for the flight, and it
lara31 [8.8K]

Answer:

  • commercial: 540 mph
  • private: 360 mph

Step-by-step explanation:

Time is inversely proportional to speed for the same distance covered. The ratio of commercial to private speeds is ...

  2.4 : 1.6 = 3 : 2

If p is the speed of the private plane, then 3/2p is the speed of the commercial plane and the difference of speeds is ...

  3/2p -p = 180

  1/2p = 180 . . . collect terms

  p = 360 . . . . . . speed of the private plane

  3/2p = 540 . . . . speed of the commercial plane

The commercial jet flies 540 mph; the private plane flies 360 mph.

6 0
2 years ago
What must be done to the expression x•6.78 to make it equal x?
Mnenie [13.5K]

The answer should be D, divide by 6.78.

8 0
3 years ago
You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You g
Tanzania [10]
4 sodas if you buy a bag of popcorn, if you dont buy popcorn you can buy 6 sodas
8 0
3 years ago
Other questions:
  • Heather wants to increase the time she jogs each week by 6 minutes. she is already able to jog for 10 minutes. the time heather
    5·1 answer
  • Suppose an experiment is rolling a dice and tossing a coin . list the elements of the sample space.
    7·2 answers
  • What is the circumference of the circle shown below
    5·2 answers
  • Evaluate -2x 2y, if x = -3 and y = -1. -12 18 -18 12
    15·1 answer
  • Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is
    11·2 answers
  • Given the following logarithmic equation, think about how you would solve each one. Now,
    11·1 answer
  • Which methods correctly solve for the varlable x in the equation 3x + 2 = 14?
    14·1 answer
  • Last year 200 students participated in the Coastal Clean-Up.This year,260 students participated.What was the percent of change?
    9·1 answer
  • Burke Middle School has an $80 budget to stock the concession stand with drinks at the spring play. Each drink costs the school
    7·2 answers
  • What is the sum of the first 100 terms of the arithmetic sequence 2, 7, 12, 17?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!